Given:
Mean of the distribution = 190.3
Standard deviation = 19.8
Let's use the emperical rule to find the best value for the percentage of the area under the curve that is shaded.
Using the emperical rule, we can see that 68% of the area under the curve is shaded.
Let u, w and v represent the missing values.
Where u is the first, v is the second and w is the last missing value.
SInce is area under the curve is about 68%, that means it falls within the first standard deviation of the mean.
To find the missing value, apply the formula:
u = mean - standard deviation
v = mean
w = mean + standard deviation.
Hence, we have:
• u = 190.3 - 19.8 = 170.5
• The middle missing value is the mean since it is the highest point.
Therefore, the middle missing value is 190.3
• w = 190.3 + 19.8 = 210.1
Therefore, the missing values along the axis are:
170.5, 190.3, and 210.1
ANSWER:
Percentage of total shaded area = 68%
Missing values = 170.5, 190.3, and 210.1